Welcome to FlyerTalk. First off where are you and which CX res did you call?

To arrange travel originating from TYO, you would need to contact CX in Japan and especially for arranging groups. Probably better to contact a Japanese TA to help you with that. They would of course have local rates on CX not available through CX res outside of Japan.

Other than CX, there are other rates you might be able to find - but again best to contact a Japanese TA for that.